For the equations (x+2y=12) and (x=4), choose the value of (y).
Advertisement
Answer and explanation
Correct answer: \(y=4\)
Substitute \(x=4\) into \(x+2y=12\): \(4+2y=12\). Subtracting 4 from both sides gives \(2y=8\), so \(y=4\). If \(y=2\), the left-hand side becomes 8, so it is not correct. Exam tip: verify the obtained value in the original equation.
Frequently asked questions
What is the correct answer to this question?
\(y=4\)
Why is this the correct answer?
Substitute \(x=4\) into \(x+2y=12\): \(4+2y=12\). Subtracting 4 from both sides gives \(2y=8\), so \(y=4\). If \(y=2\), the left-hand side becomes 8, so it is not correct. Exam tip: verify the obtained value in the original equation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
Advertisement